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Finding the Third Proportional to 29,119 and 62,051

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Solution

The third proportional to 29,119 and 62,051 is: 132,227.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,119 : 62,051 = 62,051 : x
  2. Step 2: Convert to fraction form
    29,119/62,051 = 62,051/x
  3. Step 3: Cross multiply
    29,119x = 62,051 × 62,051
  4. Step 4: Simplify right side
    29,119x = 3,850,326,601
  5. Step 5: Solve for x
    x = 3,850,326,601/29,119
  6. Step 6: Final answer
    x = 132,227.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.